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How far is it from the top of the flag pole to the tip of the shadow if the flag pole that is 18 feet tall casts a 24 foot shadow?
Using Pythagoras' theorem it is 30 feet
When the angle of elevation to the sun is 26 degrees a flagpole casts a shadow that is 82 feet long. How tall is the flag pole?
It is nearly 40 feet
How tall is a tree that casts a 30 ft shadow at the same time an 18 ft pole casts a shadow that is 6 feet long?
It is 90 feet in height
How tall is a flagpole that casts a shadow 35 feet long when a man 6 feet tall casts a shadow 8 feet long?
The flagpole is 26 feet, 3 inches tall. (210/8 feet = 26.25 feet)Since the ratio of height to shadow is 6/8, the flagpole is also 3/4 as tall as its shadow.6/8 (man) = x/35 (pole)6/8 (35) = x210/8 = xx = 26.25 feet
A man is standing near a totem pole the man is 74 inches tall and his shadow is 4 ft long The shadow of the totem pole is 6 ft long how tall is it?
The sunlight's vertical angle to the man (standing straight) and to the totem pole is the same. Therefore the length of their shadows (one side of a right triangle) to their heights (the other side) will have the same ratio.Man is 74 inches tall, shadow is 4 feet.Totem Pole is X inches tall, shadow is 6 feet (1.5 times as long)74 inches x 1.5 = 111 inches, the height of the totem pole (9' 3" tall).
How far is it from the top of the flag pole to the tip of the shadow if the flag pole that is 18 feet tall casts a 24 foot shadow?
Using Pythagoras' theorem it is 30 feet
How tall is a flag pole that casts an 18 ft shadow at the same time that a 6 ft man casts a 4 ft shadow?
We can solve this problem using a ratio. Since a 6 foot man casts a 4 foot shadow we can write this ratio as 6:4. If we reduce this ratio we get 3:2. Now we're stating that for every 3 feet of height, the shadow cast will be 2 feet.Now we can work our problem out using a small table:3 feet of flag pole = 2 feet of shadow6 feet of flag pole = 4 feet of shadow9 feet of flag pole = 6 feet of shadow12 feet of flag pole = 8 feet of shadow15 feet of flag pole = 10 feet of shadow18 feet of flag pole = 12 feet of shadowTherefore an 18 foot flag pole will cast a 12 foot shadow at the same time that a 6 foot man casts a 4 foot shadow.
When the angle of elevation to the sun is 26 degrees a flagpole casts a shadow that is 82 feet long. How tall is the flag pole?
It is nearly 40 feet
If a tree 10 feet tall casts a shadow 5 feet long how long is the shadow cast by a pole 12 feet tall?
6 feet
A pole's shadow measures feet when the shadow of a yardstick right next to the pole measures 15 inches How tall is the pole?
It depends exactly how long the shadow of the pole is... multiply whatever it is by 36/15 to get the answer.
A vertical pole five feet long casts a shadow of 2 feet if at the same time a nearby tree casts a shadow of 10 feet how tall is the tree?
25 feet tall
What is the height of a telephone pole that casts a shadow of 15 feet if a 6 foot tall man casts a shadow of 3.5 feet?
2
What is the height of a tower if its shadow is 500 feet long and a flag pole is 40 feet tall with a shadow 36 feet long?
The ratio of the height of the object to its shadow are the same for both objects. So, if H is the height of the tower, then H/500 = 40/36 therefore H = 500*40/36 = 555.55... feet.
A vertical pole 5 feet long casts a shadow of 2 feet if at the same time a nearby tree casts a shadow of 10 feet how tall is the tree?
The tree is 25 feet tall. A 5 foot pole cast a 2 foot shadow. This means that the sun angle causes the shadow to be 2/5 the length of the object casting it. The tree's shadow is 10 feet tall. Multiply 10 feet by 5/2 (inverting the fraction because we're going the other way) and we get 25 feet.
How tall is a tree that casts a 30 ft shadow at the same time an 18 ft pole casts a shadow that is 6 feet long?
It is 90 feet in height
How tall is a flagpole that casts a shadow 35 feet long when a man 6 feet tall casts a shadow 8 feet long?
The flagpole is 26 feet, 3 inches tall. (210/8 feet = 26.25 feet)Since the ratio of height to shadow is 6/8, the flagpole is also 3/4 as tall as its shadow.6/8 (man) = x/35 (pole)6/8 (35) = x210/8 = xx = 26.25 feet
How tall is a tree that casts a 25 foot shadow at the same time a 9 foot light pole casts a 15 foot shadow?
15 feet high
